90389672785440 has 1728 divisors, whose sum is σ = 386016597098496. Its totient is φ = 19529448136704.

The previous prime is 90389672785439. The next prime is 90389672785453. The reversal of 90389672785440 is 4458727698309.

90389672785440 is a `hidden beast` number, since 9 + 0 + 3 + 8 + 9 + 6 + 7 + 2 + 78 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 49582924369 + ... + 49582926191.

It is an arithmetic number, because the mean of its divisors is an integer number (223389234432).

Almost surely, 2^{90389672785440} is an apocalyptic number.

90389672785440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90389672785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193008298549248).

90389672785440 is an abundant number, since it is smaller than the sum of its proper divisors (295626924313056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90389672785440 is a wasteful number, since it uses less digits than its factorization.

90389672785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 90389672785440 in words is "ninety trillion, three hundred eighty-nine billion, six hundred seventy-two million, seven hundred eighty-five thousand, four hundred forty".